On the finite-time Bhat-Bernstein feedbacks for the strings connected by point mass
| Autor: | Chaker Jammazi, Ghada Ben Belgacem |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Point particle Applied Mathematics 010102 general mathematics Mathematical analysis Charge (physics) 01 natural sciences Stability (probability) 010101 applied mathematics Riemann hypothesis symbols.namesake Hybrid system symbols Discrete Mathematics and Combinatorics 0101 mathematics Finite time |
| Zdroj: | Discrete & Continuous Dynamical Systems - B. 24:1653-1675 |
| ISSN: | 1553-524X |
| DOI: | 10.3934/dcdsb.2018286 |
| Popis: | In this article, the problem of finite-time stabilization of two strings connected by point mass is discussed. We use the so-called Riemann coordinates to convert the study system into four transport equations coupled with the dynamic of the charge. We act by Bhat-Bernstein feedbacks in various positions (two extremities, the point mass and one of boundaries, only on the point mass, ...) and we show that in some cases the nature of the stability depends sensitively on the physical parameters of the system. |
| Databáze: | OpenAIRE |
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